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- An anthropologist analyzes ritual participation in 6 villages. Village A has 200 people, B has 300, C has 150, D has 400, E has 250, and F has 350. She randomly selects one village and then randomly selects 10% of its population for a survey. What is the expected number of people surveyed across all villages?
- For each village, the number surveyed is 10% of its population.
- Sum over villages: 0.1 × (200 + 300 + 150 + 400 + 250 + 350) = 0.1 × 1650 = <<0.1*1650=165>>165.
- A robotics engineer designs a production line with 3 types of robotic arms: 4 precision arms, 3 welding arms, and 2 assembly arms. Each robot requires exactly one arm of each type. How many distinct configurations of a full robot can be built using real, available arms?
- Each robot uses one precision, one welding, one assembly arm.
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